Nonlinear models of rolling bearings in rotordynamics

Аuthors

Leontiev M. K.^*, Snetkova E. I.^**

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: lemk@alfatran.com
**e-mail: ekaterina-snetkova@ya.ru

Abstract

The mathematical model of nonlinear rolling bearing with five degrees of freedom and the results of its application are considered. The model is used in dynamic analysis of complex rotor systems. It is based on the Hertz theory and takes into account bearing clearance, the number of rolling elements in contact, contact stiffness and also axial force acting on a bearing, contact angle. The results of static and dynamic analysis of a point rotor with nonlinear element are presented. This paper shows the significant influence of axial force acting on bearing and unbalanced rotor force on bearing stiffness.

Keywords:

rotor bearings, clearance, stiffness characteristics, mathematical model.